Question

Page 1:

Answer 1

Answer:

i think it would be number 3.

Hope this helps.

Step-by-step explanation:

Answer 2

Answer:

4) Reflect over the y-axis, reflect over the x-axis, rotate 180°

Step-by-step explanation:

Since, the rule of 180° rotation,

$(x,y)\rightarrow (-x,-y)$

Rule of reflection over x-axis,

$(x,y)\rightarrow (x,-y)$

Rule of reflection over y-axis,

$(x,y)\rightarrow (-x,y)$

Rule of reflection over line y = x,

$(x,y)\rightarrow (y,x)$

∵ In the set of reflection,

Rotate 180°, reflect over the x-axis, reflect over the line y=x,

$(x,y)\rightarrow (-x,-y)\rightarrow (-x,y)\rightarrow (y,-x)$

Reflect over the x-axis, rotate 180°, reflect over the x-axis,

$(x,y)\rightarrow (x,-y)\rightarrow (-x,y)\rightarrow (-x,-y)$

Rotate 180°, reflect over the y-axis, reflect over the line y=x,

$(x,y)\rightarrow (-x,-y)\rightarrow (x,-y)\rightarrow (-y,x)$

Reflect over the y-axis, reflect over the x-axis, rotate 180°,

$(x,y)\rightarrow (-x,y)\rightarrow (-x,-y)\rightarrow (x,y)$

Hence, the set of reflections and rotations that would carry rectangle ABCD onto itself is,

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Option '4' is correct.